Rewrite the statements as a biconditional. 13 is a counterexample. Related Conditionals To write a converse of a conditional statement, exchange the hypothesis and conclusion. There is no counterexample.
JMF and FMG are supplementary. The definition can also be written using the converse: If two lines are perpendicular lines, then they intersect to form right angles. If a number is not prime, then it is not an odd natural number less than 8. Decide whether each statement is true. If Mary is in the fall play, she must be taking theater class. If a number is not an odd natural number less than 8, then the number is not prime. To write the contrapositive, first write the converse and then negate both the hypothesis and the conclusion. Explain your answer using the definitions you have learned. 2 2 practice conditional statements answer key 4. This statement is false. AC BD b. AEB and CEB are a linear pair.
You can write "lines t is perpendicular to line m" as t m. Ex 3 Use Definition Decide whether each statement about the diagram is true. Write the if-then form, the converse, the inverse, and the contrapositive of the conditional statement "Guitar players are musicians. " Conditional - true converse - false inverse - false contrapositive - true. A conditional statement is a logical statement that has two parts, a hypothesis and a conclusion. 2 2 practice conditional statements answer key 7th grade. Because EA and EC are opposite rays, AEB and CEB are a linear pair. To write an inverse of a conditional statement, negate both the hypothesis and the conclusion. 2x + 7 = 1, because x = –3If x = –3, then 2x + 7 = 1 If a dog is a Great Dane, then it is large 2. By definition, if the noncommon sides of adjacent angles are opposite rays, then the angles are a linear pair. Definition: If two lines intersect to form a right angle, then they are perpendicular. Ex 1 Rewrite a Statement in if-then Form If an animal is a bird, then it has feathers. When a conditional statement is written in if-then form, the "if" part contains the hypothesis and the "then" part contains the conclusion. Use the diagram shown.
To show that a conditional statement is false, you need to give only one counterexample. Сomplete the 2 1a practice worksheet for free. Negation The negation of a statement is the opposite of the original statement. 2 2 practice conditional statements answer key of life. To show that a conditional statement is true, you must prove that the conclusion is true every time the hypothesis is true. C. EA and EB are opposite rays. Contrapositive: If you are not a musician, then you are not a guitar player. Here is an example: If it is raining, then there are clouds in the sky.
Converse: If the dog is large, then it is a Great Dane, False Inverse: If dog is not a Great Dane, then it is not large, False Contrapositive: If a dog is not large, then it is not a Great Dane, True 3. Inverse: If you are not a guitar player, then you are not a musician. The inverse negates the hypothesis and the conclusion. If two angles are a linear pair, then they are supplementary. 2 1a practice worksheet conditional statements.
True, a person who is not a musician cannot be a guitar player. The contrapositive both swaps and negates the hypothesis and conclusion. Ex 4 Write a Biconditional Statement Write the definition of perpendicular lines as a biconditional. Point E does not lie on the same line as A and B, so the rays are not opposite rays. Both true both false.
The right angle symbol in the diagram indicates that the lines intersect to form a right angle. All birds have feathers. All 90 ° angles are right the measure of an angle is 90 °, then it is a right angle b. Ex 2 Write Four Related Conditional Statements If-then form: If you are a guitar player, then you are a musician. So you can say the lines are perpendicular. False, even if you don't play a guitar, you can still be a musician. Notice that statement 2 is already negative, so its negation is positive.
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